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Finding the Fourth Proportional to 942.16, 1,415.40 and 668.92

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Solution

The fourth proportional to 942.16, 1,415.40 and 668.92 is: 1,004.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.16 : 1,415.40 = 668.92 : x
  2. Step 2: Convert to fraction form
    942.16/1,415.40 = 668.92/x
  3. Step 3: Cross multiply
    942.16x = 1,415.40 × 668.92
  4. Step 4: Simplify right side
    942.16x = 946,789.37
  5. Step 5: Solve for x
    x = 946,789.37/942.16
  6. Step 6: Final answer
    x = 1,004.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.